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Finding the Fourth Proportional to 392,719.59, 589,067.61 and 108,427.48

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Solution

The fourth proportional to 392,719.59, 589,067.61 and 108,427.48 is: 162,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,719.59 : 589,067.61 = 108,427.48 : x
  2. Step 2: Convert to fraction form
    392,719.59/589,067.61 = 108,427.48/x
  3. Step 3: Cross multiply
    392,719.59x = 589,067.61 × 108,427.48
  4. Step 4: Simplify right side
    392,719.59x = 63,871,116,501.92
  5. Step 5: Solve for x
    x = 63,871,116,501.92/392,719.59
  6. Step 6: Final answer
    x = 162,637.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.